Thursday, 12 May 2016
12:00 – 13:00pm in Room 407
Prof. Vladimir Okhmatovski, University of Manitoba
Novel Single-Source Integral Equation for Solution of Electromagnetic Scattering Problems on Penetrable Objects
A new Surface–Volume–Surface Electric Field Integral Equation (SVS-EFIE) is discussed. The SVS-EFIE is derived from the volume integral equation by representing the electric field inside the scatterer as a superposition of the waves emanating from its cross section’s boundary. The SVS-EFIE has several advantages. While being rigorous in nature, it features half of the degrees of freedom compared to the traditional surface integral equation formulations such as PMCHWT and it requires only electric-field-type of Green’s function instead of both electric and magnetic field types. The latter property brings significant simplifications to solution of the scattering problems on the objects situated in multilayered media.
The SVS-EFIE equation has been developed for solution of 3D scattering problems on general penetrable objects. The SVS-EFIE has been also been applied to the solution of the quasi-magneetostatic problems of current flow in complex interconnects in both homogeneous and multilayered media. Detailed description of the method of moment discretization and resultant matrices is discussed. Due to the presence of a product of surface-to-volume and volume-to-surface integral operators, the discretization of the novel SVS-EFIE requires both surface and volume meshes. In order to validate the presented technique, the numerical results are compared with the reference solutions.